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Finding the Fourth Proportional to 3,848.34, 5,763.36 and 2,457.30

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Solution

The fourth proportional to 3,848.34, 5,763.36 and 2,457.30 is: 3,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.34 : 5,763.36 = 2,457.30 : x
  2. Step 2: Convert to fraction form
    3,848.34/5,763.36 = 2,457.30/x
  3. Step 3: Cross multiply
    3,848.34x = 5,763.36 × 2,457.30
  4. Step 4: Simplify right side
    3,848.34x = 14,162,304.53
  5. Step 5: Solve for x
    x = 14,162,304.53/3,848.34
  6. Step 6: Final answer
    x = 3,680.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.